Add to ORKGThis is joint work separately with Miodrag Sokic and Marcin Sabok. Given a Fraisse class, there are the related combinatorial questions: "Does this class have the Hrushovski property?" and "Is the automorphism group of the Fraisse limit an amenable group?". Building on work of Angel-Kechis-Lyons and Zucker the amenability question has recently been answered for all Fraisse classes of directed graphs, and using a Mackey-type construction the Hrushovski question has recently been answered for the same classes. We will survey the results and the techniques used.Non UBCUnreviewedAuthor affiliation: University of TorontoGraduat
In this thesis we will study the definitions and properties relating to groups and Cayley graphs, as...
We introduce a relative fixed point property for subgroups of a locally compact group, which we call...
Hyperfiniteness or amenability of measurable equivalence relations and group actions has been studie...
We establish the amenability, unique ergodicity and nonamenability of various automorphism groups fr...
In this paper we consider those Fräısse ́ classes which admit companion classes in the sense of [KP...
It is an open problem whether the Hrushovski extension property holds for tournaments. It is equival...
We investigate two combinatorial properties of classes of finite structures, as well as related appl...
Amenability is a group theoretical property consisting in the existence of a finite measure defined ...
This is a survey of our recent results on the amenability problem forThompson's group $F$. They most...
Using Hrushovski’s predimension construction, we show that there exists a countable, $\omega$-catego...
Moore characterized the amenability of automorphism groups of countable ultrahomogeneous structures ...
In this thesis I study multiple notions related to and inspired by amenability coming from the point...
The last condition of the main thm was removed, the proofs are streamlinedInternational audienceWe s...
The main objective of this bachelor thesis is to prove Banach-Tarski theorem. The theorem states tha...
p133-141International audienceThe purpose of this paper is to study the notion of relative extreme a...
In this thesis we will study the definitions and properties relating to groups and Cayley graphs, as...
We introduce a relative fixed point property for subgroups of a locally compact group, which we call...
Hyperfiniteness or amenability of measurable equivalence relations and group actions has been studie...
We establish the amenability, unique ergodicity and nonamenability of various automorphism groups fr...
In this paper we consider those Fräısse ́ classes which admit companion classes in the sense of [KP...
It is an open problem whether the Hrushovski extension property holds for tournaments. It is equival...
We investigate two combinatorial properties of classes of finite structures, as well as related appl...
Amenability is a group theoretical property consisting in the existence of a finite measure defined ...
This is a survey of our recent results on the amenability problem forThompson's group $F$. They most...
Using Hrushovski’s predimension construction, we show that there exists a countable, $\omega$-catego...
Moore characterized the amenability of automorphism groups of countable ultrahomogeneous structures ...
In this thesis I study multiple notions related to and inspired by amenability coming from the point...
The last condition of the main thm was removed, the proofs are streamlinedInternational audienceWe s...
The main objective of this bachelor thesis is to prove Banach-Tarski theorem. The theorem states tha...
p133-141International audienceThe purpose of this paper is to study the notion of relative extreme a...
In this thesis we will study the definitions and properties relating to groups and Cayley graphs, as...
We introduce a relative fixed point property for subgroups of a locally compact group, which we call...
Hyperfiniteness or amenability of measurable equivalence relations and group actions has been studie...